`A = ( "c" ^2 * sin( beta ) * sin( alpha )) / (2 * sin( 360^o - alpha - beta )`

Enter a value for all fields

The Area of a Triangle Based on Two Angles and the Interior Side calculator computes the area of a triangle given the measurement of two of the triangle’s angles and the dimension of the interior side.

INSTRUCTIONS:  Choose units and enter the following: :

• (α) Angle 1
• (β)  Angle 2
• (c) Length of Side in between them.

Area of a Triangle (A): The calculator computes the area of the triangle in square meters (m²).  However, this can be automatically converted to other area units (e.g. square feet) via the pull-down menu.

The Math / Science

The formula for the area of a triangle based on two angles and the length of the side in between them is:

     `A = (c^2 * sin(β) * sin(α)) / (2 * sin( 2π -  α - β)`

where:

• A = Area of triangle
• α = one interior angle
• β = second interior angle
• c = length of side between angles

Triangle Calculators

• Area of a triangle base on the base and height
• Area of a triangle using two sides and the interior angle.
• Area of a triangle using two angles and the interior side.
• Area of a triangle using three known sides.
• Area of a triangle defined by three points (x,y) in a plane.
• Height of a triangle based on the area and base
• Interior Angle of a triangle based on the length of three sides
• Semi-perimeter of a triangle
• Area between two vectors